# scipy.special.cg_roots¶

scipy.special.cg_roots(n, alpha, mu=False)[source]

Computes the sample points and weights for Gauss-Gegenbauer quadrature. The sample points are the roots of the n-th degree Gegenbauer polynomial, $$C^{\alpha}_n(x)$$. These sample points and weights correctly integrate polynomials of degree $$2n - 1$$ or less over the interval $$[-1, 1]$$ with weight function $$f(x) = (1 - x^2)^{\alpha - 1/2}$$.

Parameters: n : int quadrature order alpha : float alpha must be > -0.5 mu : bool, optional If True, return the sum of the weights, optional. x : ndarray Sample points w : ndarray Weights mu : float Sum of the weights

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